495410580 has 270 divisors, whose sum is σ = 1831029354. Its totient is φ = 111803328.

The previous prime is 495410569. The next prime is 495410581. The reversal of 495410580 is 85014594.

It can be written as a sum of positive squares in only one way, i.e., 396328464 + 99082116 = 19908^2 + 9954^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495410581) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6270981 + ... + 6271059.

Almost surely, 2^495410580 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 495410580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915514677).

495410580 is an abundant number, since it is smaller than the sum of its proper divisors (1335618774).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

495410580 is a wasteful number, since it uses less digits than its factorization.

495410580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 495410580 is about 22257.8206480329. The cubic root of 495410580 is about 791.2646411343.

The spelling of 495410580 in words is "four hundred ninety-five million, four hundred ten thousand, five hundred eighty".